Deepa is trying to find the height of a radio antenna on the roof of a local building.
She stands at a horizontal distance of 27 meters from the building. The angle of
elevation from her eyes to the roof (point A) is 35°, and the angle of elevation from
her eyes to the top of the antenna (point B) is 41°. If her eyes are 1.69 meters from
the ground, find the height of the antenna (the distance from point A to point B).
Round your answer to the nearest meter if necessary.

Answers

Answer 1

The height of the antenna which is the distance from point A to point B is 4.5657 m.

What is Angle of Elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

Given:

We have to find two height h and H.

So, for distance H

H/ 27= tan 41

H= 27 x 0.8693

H = 23.4711 m

Now, for distance h

h/ 27 = tan 35

h= 27 x 0.7002

h= 18.9054

So, the height of the Antenna

= 23.4711- 18.9054

= 4.5657 m

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Related Questions

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

Answers

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

7/40 x 1/2 =?
Simplest form, please and thank you! (The slashes are fractions not division)

Answers

Answer: 7/80

Step-by-step explanation: This is already the simplest form of this fraction.

Answer: 7/80

Step-by-step explanation:

Aâ _______ is any event combining two or more simple events.

Answers

A compound event is any event combining two or more simple events.

How to complete the blanks

From the question, we have the following parameters that can be used in our computation:

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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9. The ratio of the measures of the three angles
10
in a triangle
is 10:3:7. Find the measure of the
largest angle.

Answers

Answer:

90 degrees

Step-by-step explanation:

10 + 3 + 7 = 20

10/20 x 180 = 90 degrees

Hope this helped :)

Answer:

The largest angle is 90 degree[10]

Step-by-step explanation:

Let 10:3:7 be x

10x+3x+7x = 180 [ angle sum property of a triangle ]

20x = 180

x=180/20

 =9/1

 =9

10x=10*9=90

3x=3*9=27

7x=7*9=63

90>63>27

therefore the largest angle is 90 degree.

15 solids and liquids found in the house.
What are the mass 15 solids and volume of the 15 liquids.
Please help. ​

Answers

15 solids found in the house and their mass are:

Toilet paper roll - 0.25 kgCan of soda - 0.35 kgCoffee mug - 0.2 kgBooks - 0.5 kg (per book)Pillow - 0.7 kgLamp - 1.5 kgChair - 4 kgTelevision - 15 kgSofa - 30 kgMattress - 20 kgTable - 10 kgBlanket - 1.5 kgShoes - 0.5 kg (per shoe)Lampshade - 0.2 kgPlates - 0.1 kg

15 liquids and volumes of these liquids :

Glass of water - 250 mLShampoo bottle - 500 mLDish soap bottle - 750 mLLaundry detergent bottle - 1.5 LMilk carton - 1 LCooking oil bottle - 2 LHand sanitizer bottle - 50 mLToilet cleaner bottle - 750 mLSpray bottle of cleaner - 500 mLKetchup bottle - 500 mLMustard bottle - 250 mLVinegar bottle - 1 LCooking spray can - 200 mLLiquid soap dispenser - 500 mLMouthwash bottle - 500 mL

What are some typical solids and liquids in the house ?

Some typical solid objects that can be found in a typical house would be chairs, tables, televisions, lamps and lampshades and tableware like plates, bowls, and spoons.

As for liquids, there is milk, mustard and ketchup. Then there are the cleaning liquids such as shampoos and hand sanitizers.

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Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Answers

The coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis include the following:

P" = (-4, 0).

Q" = (-(3), 1) = (-3, 1).

R" = (1, -2).

What is a reflection?

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of triangle P′Q′R′, the coordinates of triangle P′′Q′′R′′ include the following:

(x, y)                               →              (-x, y)

Coordinate P' = (4, 0)   →  Coordinate P" = (-(4), 0) = (-4, 0).

Coordinate Q' = (3, 1)   →  Coordinate Q" = (-(3), 1) = (-3, 1).

Coordinate R' = (-1, -2)   →  Coordinate R" = (-(-1), (-2)) = (1, -2).

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In a triangle ABC, AB=AC. If D is the mid-point of the side BC, prove that:
i) AD is perpendicular to BC.
ii) AD bisects angle BAC

Answers

Answer:

Step-by-step explanation:

Given: In triangle ABC, AB = AC and D is the midpoint of BC.

To prove:

i) AD is perpendicular to BC.

We can prove this by using the midpoint theorem, which states that a line segment connecting the midpoints of two sides of a triangle is perpendicular to the third side and half as long as the third side.

Since D is the midpoint of BC, we have BD = DC. Thus, the line segment AD connects the midpoints of sides AB and AC of triangle ABC.

By the midpoint theorem, AD is perpendicular to BC and AD = BC / 2.

ii) AD bisects angle BAC

We can prove this by using the fact that if two line segments are perpendicular and one is an altitude of a triangle, then the two line segments divide the triangle into four smaller triangles that are congruent by SAS congruence.

Since AD is perpendicular to BC, we have two right triangles, ABD and ACD. By the Pythagorean theorem, we have AB = AC, which means that ABD and ACD are congruent by SAS congruence.

Since ABD and ACD are congruent, we have angle BAD = angle CAD. Also, since angle BAC is the sum of angles BAD and CAD, we have angle BAC = 2 * angle BAD.

Therefore, by substitution, we have angle BAC = 2 * angle CAD. This means that angle CAD is half of angle BAC, or in other words, AD bisects angle BAC.

Hence, we have proved that in triangle ABC, AD is perpendicular to BC and AD bisects angle BAC.

What is the justification for step 1 in the solution process?
8x + 15 = 11x + 2
Step 1: 8x = 11x
13

Answers

The justification for step 1 in the solution process of equation 8x + 15 = 11x + 2 will be to substitute the negative sign before the number 13.

What is the solution to the equation?

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The equation is given below.

8x + 15 = 11x + 2

Simplify the equation for 'x', then we have

8x + 15 = 11x + 2

8x = 11x + 2 - 15

8x = 11x - 13

The justification for step 1 in the solution process of equation 8x + 15 = 11x + 2 will be to substitute the negative sign before the number 13.

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A small theater had 9 rows of 27 chairs each. Workers just removed 7 of these chairs. How many chairs are left?

Answers

Answer:

236

Step-by-step explanation:

number of chairs left = total chairs - 7 chairs

total chairs = 9 × 27

= 243

243 - 7

= 236

Answer: 236

Step-by-step explanation:

We have to figure out how many chairs there are in total so you will do 9*27. That is 243. If 7 were removed, you would do 243-7 which is 236. Therefore, there are 236 chairs left.

A 6 month loan has $5,000 in proceeds and a discount rate of 10%. Determine the face value

Answers

Answer:

the face value of the loan is $5,263.16.

Step-by-step explanation:

To determine the face value of the loan, we need to use the formula:

Face Value = Proceeds / (1 - Discount Rate * Time)

where "Time" is the time period of the loan in years.

Since the loan is for 6 months, we need to convert this time to years by dividing it by 12. Therefore, "Time" = 6/12 = 0.5 years.

Now, we can substitute the given values into the formula:

Face Value = 5,000 / (1 - 0.1 * 0.5)

Face Value = 5,000 / (1 - 0.05)

Face Value = 5,000 / 0.95

Face Value = $5,263.16 (rounded to the nearest cent)

Therefore, the face value of the loan is $5,263.16.

please help me on this

Answers

Answer: 2/9 (0.2 repeating)
If there isn’t an option for that, I would pick whatever is closest to it (3/1)

Hope this helps!

A factory made 9,200 jars of peanut butter. 93% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?

Answers

The total number number of creamy peanut butter jars are 8556.

What is percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Given is that a factory made 9200 jars of peanut butter. 93% of the jars contained creamy peanut butter.

We can write the total number number of creamy peanut butter jars as -

{x} = 93% of 9200
{x} = 93/100 x 9200
{x} = 93 x 92
{x} = 8556

Therefore, the total number number of creamy peanut butter jars are 8556.

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factor the expression xy^2+y

Answers

Answer:

Step-by-step explanation:

y(xy+1)

Answer:

xy^2+y = y(xy + 1)

Step-by-step explanation:

TEXT ANSWER
Question 7
Are the sides proportional?
Set up each ratio of sides and determine if they are equal ratios. Show all of your work.
3.61 cm
R
44°
11.97 cm
9.71 cm
N
T
17.955 cm
14.565 cm
121°
M
44°
5.415 cm

Answers

The side lengths form a proportional relationship, and the ratios are given as follows:

17.955/11.97 = 14.565/9.71 = 5.415/3.61.

What are similar triangles?

Similar triangles are triangles that share these two features presented as follows:

Congruent angle measures.Proportional side lengths.

For this problem, the triangles are similar, as they have the same angle measures, and thus the side lengths form a proportional relationship, as the equivalent side lengths have a ratio of 1.5.

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The box plot represents the number of hours of battery life in different cell phones.What is maximum battery life?

Answers

Answer:

The maximum battery life is 27 hours

Step-by-step explanation:

The box plot represents the number of hours of battery life in different cell phones.

We have to find the maximum battery life.

What is box plot?

The box plot is a type of chart often used in explanatory data analysis.

Now,

By figure the maximum life of a battery is 27 hours.

Hence, The maximum battery life is 27 hours.

What is the highest common factor of 25, 75 and 150?

Answers

The required highest common factor of 25, 75, and 150 is 25.

What is the highest common factor?

The highest common factor (HCF) of two or more numbers is the largest number that divides all of the numbers exactly.

To find the HCF of 25, 75, and 150, we can first find the prime factorization of each number and then look for the common factors.

Prime factorization of 25,  25 = 5²

Prime factorization of 75:, 75 =  5² × 3

Prime factorization of 150,  150 = 2 × 3² × 5²

The largest factor that all three numbers have in common is 5², which is 25.

So, the HCF of 25, 75, and 150 is 25.

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AGAIN HELP!!!!!!!!!!!!!!!STILL TRYING TO TEACH MYSELF LOL

Answers

78 x 50% + 62 x 50%
= 70

Pllease Help!! 25 points!!!!!

Answers

The required y-coordinate of system of equation is -3.

Explain about y-coordinate.

The second component of an ordered pair is a y-coordinate. The y-coordinate denotes the directional separation of the point from the x-axis when an ordered pair is graphed as the coordinates of a point in the coordinate plane. The ordinate is another term for the y-coordinate.

According to question:

We have,

y = x/2 - 4 and y = -2x + 1

Equate both equation

x/2 - 4 = -2x + 1

x - 8 = -4x + 2

5x = 10

x = 2

Then,

y = -2x + 1

y = -2(2) + 1

y = -4 + 1

y = -3

Thus, required y-coordinate of system of equation is -3.

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In ΔJKL, l = 920 inches, j = 880 inches, and ∠K=157°. Find the length of k, to the nearest inch.

Answers

In the triangle  ΔJKL,  the length of side k found using the law of cosines is approximately 1764 inches.

What is meant by the law of cosines?

The law of cosines, commonly referred to as the cosine formula or cosine rule, is a relation in trigonometry that links the lengths of a triangle's sides to the cosine of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.

If ABC is a triangle, then as per the statement of cosine law,  we have:

c = [tex]\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]

where,

c = length of side c

a = length of side a

b = length of side b

γ = angle opposite c

Given a triangle, ΔJKL

The length of side l= 920 inches

The length of side j = 880 inches

∠K = 157°

According to the law of cosines,

k² = l² + j² - 2.l.j . cos K

  = 920² + 880² - 2 * 920 * 880  * cos (157°)

=  846400+ 774400 - (-1490481.46)

= 3111281.46

k = 1763.88 = 1764 inches.

Therefore the length of side k found using the law of cosines is approximately 1764 inches.

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please help!!!! i did not know this was in 7th grade

Answers

I think the area for the first question is 2352 I could be wrong

HELP MEEEEEEEEE ASAP

Answers

This can be solved by using the geometric mean theorem. The altitude drawn to the hypotenuse is the geometric mean of the lengths of the segments of the hypotenuse. The geometric mean is numbers for which this statement is true: a/x = x/b where a and b represent 2 numbers. So filling in a/x = x/b with the given information gives you 36/x = x/9. You can then solve by using the means-extremes property. x^2 = 324  

x = 18

2. Does the graph below show a proportional relationship? Why or why not? ight line?​

Answers

The graph will show a proportional relationship if it is a linear function with an intercept of zero.

What is a proportional relationship?

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

Hence from the definition the features of the graph of a proportional relationship are given as follows:

Linear function with constant slope.Intercept of zero, as when x = 0, y = 0, hence the graph crosses or touches the y-axis at y = 0.

Missing Information

The problem is incomplete, hence the procedure to verify if the graph is a proportional relationship is presented.

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you go out to breakfast and order a meal that costs $7.24 and a coffee that costs $2.65. there is a 6.4% sales tax and you leave a 25% tip. what is the total cost of the meal?

Answers

answer: $13.14

$7.24 + $2.65 = $9.89

6.4% sales tax to $9.89 = $10.52

$10.52 + 25% tip = $13.14

Please help asap will give brainilest

Answers

Answer:

a

Step-by-step explanation:

The answer is going to be C

What happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number?

Answers

The value of the given expression increases, because as x decreases, 5/x increases

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, what happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number,

We know that, If the denominator of the fraction is decreased, the value of a fraction is increased while the numerator remains unchanged.

Therefore, if the value of x in the given starts decreasing the value of the whole fraction will start increasing.

Hence, the value of the  expression increases, because as x decreases, 5/x increases

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solve using substitution
y=60+2.5x and y=7.5x

Answers

Answer:[tex]x=12[/tex]

Step-by-step explanation:

1. Which is common to the formation of all fossil fuels? (1 point) Responses
A. Fossils are converted into carbon-rich fuels.
B. Sedimentary rock is converted into carbon-rich fuels.
C. Once-living organisms are converted into carbon-rich fuels
D. Swampy forest plants are converted into carbon-rich fuels.
2. How does deforestation increase the warming of Earth?
A. It decreases the production of ozone in the atmosphere.
B. It releases more oxygen into the atmosphere.
C. It increases the presence of methane in the atmosphere.
D. It decreases the removal of carbon dioxide from the atmosphere.
3. Drag each item to the correct location to indicate whether it is a greenhouse gas or a non-greenhouse gas. (1 point)
Greenhouse Gas or Non-Greenhouse Gas
Methane
Nitrogen
Carbon dioxide
Nitrous oxide
Ozone
Oxygen

Answers

The Option that is common to the formation of all fossil fuels is: fossils are converted into carbon-rich fuels. The Option A is correct.

What is the formation of fossil fuels?

Fossil fuels are gotten from the decomposition of plants and animals. These fuels, which can be found in the Earth's crust and contain carbon and hydrogen, can be burned for energy. Fossil fuels include coal, oil, and natural gas.

Coal is a material that is typically found in sedimentary rock deposits where layers of rock and dead plant and animal matter are piled up. More than half of the weight of a piece of coal must come from fossilized plants. Oil was discovered as a solid material between layers of sedimentary rock, such as shale.

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Statements and Reasons Chart:

Answers

ABCD is a parallelogram.

The proof is given below.

What is parallelogram?

A special form of quadrilateral called a parallelogram has both pairs of opposite sides parallel and equal.

Given:

ABCD is a quadrilateral.

The diagonal of ABCD are AC and BD.

∠1 ≅ ∠2

That means AB = CD. (the sides of opposite angles)

And BE = ED.

and BD bisect AC at E.

That means BE = BD.

To prove ABCD is a paralleogram:

∠AED ≅ ∠BED (opposite angle)

And EC = AE (given)

So, BC = AD.

The sides are equally spaced because the diagonals bisect each other.

So, the opposite sides are parallel.

Therefore, ABCD is a parallelogram.

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Which ordered pair represents the point labeled as G?

negative one-half, one and one-fourth
three-fourths, three-fourths
0, negative one and one-fourth
negative one and one-fourth, negative one-half

Answers

Answer:

the answer should be negative one and one-fourth, negative one -half

Step-by-step explanation:

hope this helps

which ration is the largest 18: 5 or 27: 25​

Answers

Which ratio is larger? 18:5 or 27:25?
To solve this, we can simply divide the two numbers in the ratio. The colon can also be a division sign. So 18:5 is also 18/5, which equals 3.6. 27:25, also 27/25, is 1.08. So 18:5 is larger.

Hope this helped!
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A researcher notes that male-female pairs of fraternal twins share a similarenvironment in a mothers' womb. This exposes the female twin to higherlevels of the hormone testosterone during prenatal development. Thishormone is thought to be responsible for masculinizing the brain (it leads tomale-typical behaviors). Likewise, the male twin is exposed to higher levelsof the hormone estrogen. This hormone is thought to be responsible forfeminizing the brain (it leads to female-typical behaviors). To test whetherexposure to testosterone and estrogen may influence male and female typicalbehavior, the researcher selected a sample of female-male fraternal twins andcompared them to identical twins of each gender (male, female). She measuredtendencies toward aggression using an aggression assessment where higherscores indicated greater aggression (a male-typical trait). It was hypothesizedthat if hormone exposure influenced behavior, then aggression scores will varyamong the groups.Dependent variable:Factor A:Levels of Factor A:Factor B:Levels of Factor B:Number of groups: Select the sentence that contains a gerund. The gymnast, who liked to tumble, was ranked in the top ten in the state. The tumbling gymnast was ranked in the top ten in the state. The young gymnast was ranked in the top ten in the state for tumbling. The young gymnast was ranked in the tumbling top ten in the state. HELP ASAPThe table shows values for Variable A and Variable B.Variable A 1 5 2 7 8 1 3 7 6 6 2 9 7 5 2Variable B3 5 4 7 7 4 4 6 6 13 3 8 8 6 1Use the data from the table to create a scatter plot.Keyboard InstructionsInitial graph stateThe horizontal axis goes from -0.7 to 10.5 with ticks spaced every 1 unit(s).The vertical axis goes from -1 to 14.5 with ticks spaced every 1 unit(s). 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